# Angle of a semicircle on a ramp

## Homework Statement

The semicylinder of mass m and radius r lies on the rough inclined plane for which ϕ = 10∘ and the coefficient of static friction is μs = 0.3. Determine if the semicylinder slides down the plane, and if not, find the angle of tip θ of its base AB

f=uN

## The Attempt at a Solution

I think this requires some weird trigonemetry... I already calculated that the cylinder does not slide down but I cannot calculate the angle of theta [/B]

mfb
Mentor
but I cannot calculate the angle of theta
What did you try so far?
What do you know about equilibrium positions?

haruspex
Homework Helper
Gold Member
2020 Award
Your drawing of the forces could be a little more accurate. Where will the line of action of the normal force intersect AB?

What did you try so far?
What do you know about equilibrium positions?
I've tried a few different triangles, but I cant figure it out. I know nothing about equilibrium positions.

Your drawing of the forces could be a little more accurate. Where will the line of action of the normal force intersect AB?
How can I calculate that?

Never mind, I figured it out. In case your curious you use the law of sines...